Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/3658
Title: | Wigner surmise for Hermitian and non-Hermitian Chiral random matrices |
Authors: | Akemann, G Bittner, E Phillips, MJ Shifrin, L |
Keywords: | Random matrix theory;Lattice gauge theory |
Issue Date: | 2009 |
Publisher: | American physical society |
Citation: | Physical Review E. 80: 065201(R) |
Abstract: | We use the idea of a Wigner surmise to compute approximate distributions of the first eigenvalue in chiral Random Matrix Theory, for both real and complex eigenvalues. Testing against known results for zero and maximal non-Hermiticity in the microscopic large-N limit we find an excellent agreement, valid for a small number of exact zero-eigenvalues. New compact expressions are derived for real eigenvalues in the orthogonal and symplectic classes, and at intermediate non-Hermiticity for the unitary and symplectic classes. Such individual Dirac eigenvalue distributions are a useful tool in Lattice Gauge Theory and we illustrate this by showing that our new results can describe data from two-colour QCD simulations with chemical potential in the symplectic class. |
URI: | http://bura.brunel.ac.uk/handle/2438/3658 http://link.aps.org/doi/10.1103/PhysRevE.80.065201 |
DOI: | http://dx.doi.org/10.1103/PhysRevE.80.065201 |
ISSN: | 1539-3755 |
Appears in Collections: | Mathematical Physics Dept of Mathematics Research Papers |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Fulltext.pdf | 1.23 MB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.